Step-by-step explanation:
(a) dP/dt = kP (1 − P/L)
L is the carrying capacity (20 billion = 20,000 million).
Since P₀ is small compared to L, we can approximate the initial rate as:
(dP/dt)₀ ≈ kP₀
Using the maximum birth rate and death rate, the initial growth rate is 40 mil/year − 20 mil/year = 20 mil/year.
20 = k (6,100)
k = 1/305
dP/dt = 1/305 P (1 − (P/20,000))
(b) P(t) = 20,000 / (1 + Ce^(-t/305))
6,100 = 20,000 / (1 + C)
C = 2.279
P(t) = 20,000 / (1 + 2.279e^(-t/305))
P(10) = 20,000 / (1 + 2.279e^(-10/305))
P(10) = 6240 million
P(10) = 6.24 billion
This is less than the actual population of 6.9 billion.
(c) P(100) = 20,000 / (1 + 2.279e^(-100/305))
P(100) = 7570 million = 7.57 billion
P(600) = 20,000 / (1 + 2.279e^(-600/305))
P(600) = 15170 million = 15.17 billion
point A (-1-1) point B(-2-1)
Answer:
the answer is 3
Step-by-step explanation:
in the number 66 there are "2" circles in them and so the answer we get 2
in the number 99 there are "2" circles and so the answer there is 2
in the number 888 there are "6" circles so the answer is 6
in the number 00 there are "2" circles that's the answer
in the number 7777 there are no circles so the answer is 0
we keep on going like that......
in the number 2876 there are 3 circles 2 in the number 8 and 1 in the number 6
hope this helped :D
Answer:
It is a parallelogram, I don't know what specified method you want us to use
Answer:
all regular polygons are symmetrical!!
hope this helped!
Step-by-step explanation:
